Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Thomas McConville"'
Autor:
Alexander Garver, Thomas McConville
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
Given a tree embedded in a disk, we define two lattices - the oriented flip graph of noncrossing arcs and the lattice of noncrossing tree partitions. When the interior vertices of the tree have degree 3, the oriented flip graph is equivalent to the o
Externí odkaz:
https://doaj.org/article/f93ee0da02d040d687e1501a98dc98cd
Autor:
Thomas McConville
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
The Tamari order is a central object in algebraic combinatorics and many other areas. Defined as the transitive closure of an associativity law, the Tamari order possesses a surprisingly rich structure: it is a congruence-uniform lattice. In this wor
Externí odkaz:
https://doaj.org/article/f95b1c462e8e46f1939a258de4e83870
Autor:
Thomas McConville
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AT,..., Iss Proceedings (2014)
We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of
Externí odkaz:
https://doaj.org/article/f10649df51d5400b86e6be1924d9c8bb
Publikováno v:
FPSAC 2020-32nd International Conference on Formal Power Series and Algebraic Combinatorics
FPSAC 2020-32nd International Conference on Formal Power Series and Algebraic Combinatorics, Jul 2020, online, France
FPSAC 2020-32nd International Conference on Formal Power Series and Algebraic Combinatorics, Jul 2020, online, France
We extend the facial weak order from finite Coxeter groups to central hyperplane arrangements. The facial weak order extends the poset of regions of a hyperplane arrangement to all its faces. We provide four non-trivially equivalent definitions of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fbe76817b91dbbea6ecaade1ba8857d
https://doi.org/10.1007/s00454-021-00312-5
https://doi.org/10.1007/s00454-021-00312-5
Publikováno v:
Journal of Algebra. 546:390-431
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets of strings forms a lattice, and moreover, that this lattice is congruen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c3147dd7a6921cd4570b7392d7c3d82
https://doi.org/10.1016/j.jalgebra.2019.10.041
https://doi.org/10.1016/j.jalgebra.2019.10.041
Autor:
Axel Kallies, David A. Young, Mike Halsey, Erik J. van Nieukerken, Therésa M. Jones, Douglas J. Hilton, Thomas McConville, Stephen Wilcox, Adnan Moussalli, Liz Milla
Publikováno v:
Systematic Entomology. 45:128-143
Heliozelidae are a cosmopolitan family of small, day-flying moths, and include some pest species of commercial crops. Overall, the family is poorly known and lacks a well-resolved phylogeny. Previous molecular and taxonomic work has revealed rich und
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48eff5dceead847d9793e75f5f277b09
https://doi.org/10.1111/syen.12383
https://doi.org/10.1111/syen.12383
Autor:
Thomas McConville, Alexander Garver
Publikováno v:
Glasgow Mathematical Journal. 62:147-182
The purpose of this paper is to understand lattices of certain subcategories in module categories of representation-finite gentle algebras called tiling algebras, as introduced by Coelho Simões and Parsons. We present combinatorial models for torsio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f4e64d9f44d9c9c00ece0043536efee
https://doi.org/10.1017/s0017089519000028
https://doi.org/10.1017/s0017089519000028
We give a simple proof of a major index determinant formula in the symmetric group discovered by Krattenthaler and first proved by Thibon using noncommutative symmetric functions. We do so by proving a factorization of an element in the group ring of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6936620eba2ad526076546c71f3f7197
Autor:
Emily Barnard, Thomas McConville
Publikováno v:
Algebra universalis. 82
The Malvenuto–Reutenauer algebra is a well-studied combinatorial Hopf algebra with a basis indexed by permutations. This algebra contains a wide variety of interesting sub Hopf algebras, in particular the Hopf algebra of plane binary trees introduc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fa8465aab1805672a7e0b2ba34f60f9
https://doi.org/10.1007/s00012-020-00689-z
https://doi.org/10.1007/s00012-020-00689-z
Let alpha = (a,b,...) be a composition. Consider the associated poset F(alpha), called a fence, whose covering relations are x_1 < x_2 < ... < x_{a+1} > x_{a+2} > ... > x_{a+b+1} < x_{a+b+2} < ... . We study the associated distributive lattice L(alph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::661b893a67f7922b18d2cc3bcb35135c
http://arxiv.org/abs/2008.13232
http://arxiv.org/abs/2008.13232